{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b8d40929-087a-45e3-b4d1-3603a97513ef",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "# 调整节点位置\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "32b8ad6f-f476-41a7-9715-d888798e81d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d24f0e90-53fc-4080-8e44-e15e547c1a85",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建图\n",
    "G = nx.path_graph(20) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "407d2fd3-1a8f-42bd-b6f9-da243bed88a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 需要调整位置的节点序号\n",
    "center_node = 5 \n",
    "\n",
    "# 剩余节点子集\n",
    "edge_nodes = set(G) - {center_node}\n",
    "# {0, 1, 2, 3, 4, \n",
    "# 6, 7, 8, 9, 10, 11, 12, \n",
    "# 13, 14, 15, 16, 17, 18, 19}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e0567ef8-d8e2-467c-8d9d-c31ac4aa44e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "edge_nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9c53426f-b9e4-4215-baf1-674ee85a4880",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 圆周布局 (除了节点5以外)\n",
    "pos = nx.circular_layout(G.subgraph(edge_nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "174a2ae5-017c-4656-917a-61d85f1f9001",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 在字典中增加一个键值对，节点5的坐标\n",
    "pos[center_node] = np.array([0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6482ee04-a266-4ece-b25c-5c610965dd26",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G, pos, with_labels=True)\n",
    "plt.savefig('调整节点位置.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e4bc248c-6686-43f6-9b46-8cf2338442f4",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c99a2a6d-aa71-4d31-93cd-0303b24eb620",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 圆周布局，所有节点\n",
    "pos_all = nx.circular_layout(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "46518bec-bd50-4de0-af10-bba325fa1e3a",
   "metadata": {},
   "outputs": [],
   "source": [
    "pos_all[5] = np.array([0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b22e5e94-2c6d-40ab-bf80-bf73b48bf9c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XryI4OFjqcOg6ZrMZ0dHRWL16NR577DGpw+mUmpoa/PnPf8YbOQI0/Ye1u0RoU6LTgcvvPgLRXo/+P3+r1X3UKgETEqOw9oG2e9PkW9zJoXymrFD5xdU4UFDq1vMr84l9AAQED2t7trSgUuOiIxRXLPJdREGn06G2thafffaZ1KFQKz799FPU1dX57PNkV4SEhGDRT5fCL26EywkZuFa/NKHRcFpr2tzH4RRxoKAUBSXVngiVfAyTskKtzyqE2o0XxosOOyynDiJgwFBoesW2u69aJWDdl/KdCZqcnIwRI0ZwFraPMhqNGDlyJJKSkqQOpUtcrYNOWx0clirUV1yG6fBG1J45isCBN7R7jNzrILWNSVmhMnNL3Ool1579Gs5aE4KHTe1wX4dTRGZeSReik55Op8PmzZths9mkDoWasNls2Lx5s6x7yQ1crYMVe/6BC3+6G5f+9iAqMv8FbcrNiJz1i3aPUUIdpNYxKStQjdWOQjcXGzCf2AeoNNAOvcWl/QvLLLJeDlCv16OqqgqZmZlSh0JN7NmzByaTCXq9XupQusSdOhg2dgFiljyHqLnLEJR4I0TRCTjqOzxO7nWQWsekrEDny8wtVglqj9NWi9r8LxE0aDTUQa5N5BMBnCszdyo+XzBy5EgkJiZyCNvHGI1GDB48WJL10T3JnTroFxWHoIRRCBkxHTF3PA3RVoeSj1d3uL623OsgtY5JWYFsrXwFqj2WvC8h1lsRnDbVq+fxJYIgQKfTYePGjXA4HFKHQwAcDgc2btwInU7ns4vPuKordUM7ZCJsl/NhL7/o1fOQb2JSViB/jXuX1XxiLwT/IAS1s2CBJ87ja/R6PYqLi/HFF19IHQoBOHToEEpKSmQ/dA10rW6I9VYAgNPacS9Y7nWQWuIVVaCEqGC42s9wWKpQd+6/0CaPh8rP9UVAhO/OI2fjx49Hnz59OITtI4xGI/r27Ytx4+T//VtX6qDDXNniM9Fhh/n4HgiaAPhFt79qlxLqILXEVzcqUHCABvGRWpx3YaKJ+eR+wOlwe+g6PkrrlRfMdyeVSoWFCxfCYDDglVdekf2QqZyJogiDwYCFCxdCpZJ/X8GVOlj26RsQbRYExA2HOjQKjpoKmE/shb3sAiKmPQCVf1C751BCHaSW5H/3U6vSU2Nc+o6kOWcvVNpeCEwY5XLZapWA9JSYLkTnO/R6Pc6dO4f//ve/UofSo33zzTc4f/68IoauG3RUB4OHTgIEFaq/2Ybyz/6K6iMboQmNRu8frkDYTe1/JUxJdZCa459ZCnX3uHi8+8W5Dvfr++P/c7tsh1PEPeOVsSD+1KlT0atXLxiNRowePVrqcHoso9GIiIgIn3n3tid0VAeDh01pd/W89iipDlJz7CkrVHJsKCYlRbu1qpcr1CoBk5KikRQT6tFypeLn54d58+bx5RQSMxgMmDdvnizeNOYq1kHqDCZlBVujGwGNCkDH7xxxmUYlYI1O3t8hvZ5er0dOTk6r78El78vNzcWJEycUNXTd4Fod9GxSVmIdpO8xKStYMOqg/q8B8OAEptXz0xT3yrhZs2ZBq9VyFrZEjEYjtFotZs2aJXUoHhcXqcWq+WkeLfN3MwYprg7S95iUFaqyshKzZs1CyRcbce8NvTxS5mOzUhX5cnWtVovbbruNQ9gSMRgMmD17NoKC2p9tLFdLxsbj0VkpHinLeuQ/ePPRe1FZWemR8sj3MCkrUFVVFW699VacOXMGu3btwrNLJuIF/QgEaFRuP99SqwQEaFR4UT8Cv0qX91t72qPX63H48GFcuHBB6lB6lKKiIhw5ckSRQ9dNLU1P9kgd3P7KIzh9+jRuu+02mEwmL0VLUmJSVpjq6mrMnj0beXl52LVrF0aNGgXg2l/ru5ZNwYTEKADosGFo2D4hMQq7lk1RZA+5qblz58LPzw8bN26UOpQeZePGjfDz88PcuXOlDsXrPFEHR40ahZ07d+LUqVOYPXs2qqv5TmWlEcSOVj0HYDKZEB4ejqqqKoSFufbCAup+ZrMZs2fPxrfffotdu3Zh7Nixre6XX1yN9VmFyMwrQWGZpdnC+QKuLUqQnhKDe8bH96gZnrNnz4bVasWePXukDqXHSE9PR1BQELZt2yZ1KN2qq3Xw8OHDmDlzJm644QZs374dwcFc2cuXuZNDmZQVwmKxYO7cuTh69Ch27NiB8ePHu3Sc2WrHuTIzbHYn/DUqJEQF99hVgv7+97/jF7/4BYqLixEdHS11OIp39epV9OnTB2+99RYefPBBqcORTGfr4BdffIFZs2Zh7Nix2LJlC7RaTv7yVe7kUA5fK0BtbS3mz5+PI0eOYPv27S4nZODacoBp/cIxOj4Caf3Ce2xCBoAFCxZAFEVs3rxZ6lB6hM2bN0MURSxYsEDqUCTV2Tp48803Y/v27Th8+DAWLFiA2tpaL0dK3YFJWebq6uqg0+lw6NAhbN26FRMnTpQ6JNmKjY3FLbfcwlnY3cRgMGDSpEmIieFykZ11yy23YOvWrfj888+h1+tRV1cndUjURUzKMma1WrFo0SLs27cPW7ZsUdQShVLR6XTYsWMHJ9B4mclkws6dO6HTtb/GM3VsypQp2Lx5M/bu3YtFixbBarVKHRJ1AZOyTNlsNtx5553YtWsXMjIyMG3aNKlDUgSdTgebzYbt27dLHYqibd++HTabjUnZQ6ZPn45NmzZh165dWLx4Merr66UOiTqJSVmG6uvrcdddd+HTTz+F0WjEzJkzpQ5JMRISEvCDH/yAQ9heZjAYcOONN2LgwIFSh6IYs2bNgsFgwPbt23HXXXcxMcsUk7LM2O123H333di8eTM+/vhjzJ49W+qQFEen02Hr1q18PucldXV12LZtG3vJXjBnzhx8/PHHyMjIwD333AO73S51SOQmJmUZcTgcuO+++2A0GvHRRx9h3rx5UoekSHq9HjU1Ndi9e7fUoSjSrl27UFNTo/hVvKQyb948fPjhh/jkk09w3333weFwSB0SuYFJWSYcDgd+8pOf4MMPP8QHH3yAhQsXSh2SYg0dOhSpqakcwvYSg8GAIUOGYOjQoVKHolg6nQ4ffPABPvzwQ/z0pz9lYpYRJmUZcDqdePDBB7F+/XqsX78eixYtkjokRRMEATqdDps2beLwn4fZ7XZkZGRw6Lob3HHHHVi3bh3WrVuHn//853A6nVKHRC5gUvZxTqcTv/jFL/Duu+/ivffew+LFi6UOqUfQ6/UoKyvDwYMHpQ5FUQ4cOICysjIOXXeTJUuW4L333sM777yDX/7yl3BhAUeSWM9dvkkGRFHEr3/9a7z99tt45513cM8990gdUo8xZswYDBgwAAaDAVOnTpU6HMUwGAyIi4vDjTfeKHUoPUbDhK+f/vSn0Gg0+POf/wzBg+9YJ89iT9lHiaKIRx55BH/961/x9ttv47777pM6pB6lYQjbaDSyd+EhTqcTRqMROp2OSaGb3X///fj73/+Ov/zlL1i2bBnvaR/GpOyDRFHEY489hj/96U9466238MADD0gdUo+k1+tx4cIFfPXVV1KHoghfffUVLl68yKFrifzsZz/Dm2++iddffx2PP/44E7OP4vC1jxFFEU8++ST+7//+D2+88QYeeughqUPqsW655RZER0fDYDC0+RpMcp3BYEDv3r1xyy23SB1Kj/U///M/sNvt+PWvfw2NRoM1a9Zw1MLHsKfsY1auXIkXX3wRr776Kn71q19JHU6PptFoMH/+fBgMBvYqukgURRgMBsyfPx9qtVrqcHq0pUuX4o9//CNeeOEFPP3001KHQ9dhUvYhq1evxnPPPYeXX34ZjzzyiNThEK4NYefl5eHkyZNShyJrJ06cQH5+PoeufcSyZcvw0ksv4dlnn8Wzzz4rdTjUBIevvaAzLy1fs2YNnn76aaxZswaPPvpoN0VKHZk+fTpCQ0NhMBgwbNgwqcORLYPBgNDQUEyfPl3qUOg7jz32GOrr6/HUU09Bo9HgySef7PCYzrRt5B7+Nj0kv7ga67MKkZlbgsJyC5oOdgoA4iO1SE+Nwd3j4pEcG9rs2JdffhlPPfUUVq1a5VLFoO4TGBiIOXPmwGAw4Pe//73U4ciWwWDA3LlzERAQIHUo1MTy5ctRX1+P5cuXw8/Pr9UOQVfaNnKfILrwsMxkMiE8PBxVVVUICwvrjrhko6jcguXGbBwoKIVaJcDhbPvX2bB9UlI01uhGIC5Si1dffRX/+7//ixUrVmD16tXdGDm56qOPPsLixYtx9uxZJCQkSB2O7Jw9exaJiYn46KOPcMcdd0gdDl1HFEWsXLkSzz33HF599dXGR2ddbdvoe+7kUPaUu2DDkUI8nZED+3c3a3s3bdPth86UYcar+zA5uBj/ePJ/8cQTT2DVqlVej5c6Z/bs2QgICIDRaMSyZcukDkd2jEYjAgIC+EYzHyUIAlavXo36+nosW7YMGo0G0ePmd6ltWzU/DUvGxns9diViT7mT3sjMxys78rpQgghAwHDHGWx+cSm/luDj5s2bh8rKShw4cEDqUGTnlltuQWRkJDIyMqQOhdrRsD7C24eKEDHlx10u79FZKVianuyByOSPPWUv23CksM2EXF9+EZUH1sF64QSctTVQh/VG8LApCBung8ovsMme15LwcXUiPvqqCIv5V6VP0+v1eOCBB1BcXIzY2Fipw5GNK1eu4NChQ/jXv/4ldSjUAUEQcOOdv8HHftkttlkv58GcvRt1hdmwVxVDFRSGgH6p6DX5XvhF9m+1vFd25KF3SADbNjfxK1FuKiq34OmMnFa32U1XceW9/4X1Yi5Cf3A7ImY8iID+Q1B1cD1KN73cZpkrM3JQVG7xVsjkAfPmzYNKpcKmTZukDkVWNm3aBJVKxXd/y0BRuQXPbG69bTN9+TEsuYcQOPAGRMz4OUJuuBV1Rcdx+Z2HYbt6rs0y2ba5j0nZTcuN2Y3PWa5nPp4Jp9WMmDueRvjNdyB01G2InvsIgodPQ21BFhx1Na0eZ3eKWG5s+dcp+Y7o6GhMnjyZ71h2k8FgwJQpUxAVFSV1KNSB9tq20LE69P/lvxA58yGE3nArek1cgj53vwjR6YDpy4/bLJNtm/uYlN2QX1yNAwWlbU56cNqu/UWoDu7V7HN1SCQgqCCoWn9a4HCKOFBQioKSao/GS56l1+uxZ88eVFZWSh2KLFRWVmLPnj1cMEQGOmrbAgcMhaD2a/aZX2R/+EfHo760qM1y2ba5j0nZDeuzCqFWtT0hKzB+BACgbNufYCs+A7vpKswn96P6m20IvXEeVP6BbR6rVglY92Whx2Mmz1m4cCHq6+uxdetWqUORhS1btsBut2PhwoVSh0Id6Khta40oinBYKqHStj9xiW2be5iU3ZCZW9LuVwOCEm9E+KR7UHfuv7j8zm9w8a8/QemmlxB64zxEzniw3bIdThGZeSWeDpk8aMCAAbjppps4hO0ig8GAcePGoX//1icCke/oqG1rjTlnLxzVZQgeMqnd/di2uYdJ2UU1VjsKXZiwoAmPRUBcGiJvW4reuuUIHjkTpkMfwXR0c4fHFpZZYLbaPREueYler8enn34Ki4WTV9pjsVjw6aefcuhaBlxt25qqLytC+c43EdB/CIJHdLx0Kts21zEpu+h8mRkd/R1pPrEP5Z++gajZv0HoqNugTZ2A6DkPI3jEdFTufReOWlO7x4sAzpWZPRYzeZ5Op4PFYsGOHTukDsWnffbZZ6itrYVOp5M6FOqAK21bU46aCpT8ZxVUAcGIXvgkBFXHb/1i2+Y6JmUX2ezODvep/nob/GMToQmLbva5NukmiPVW2IrPeOQ8JJ2UlBSkpaVxCLsDBoMBw4cPR3IyF4/wde60Oc46M4o/ehrOOjNi7lwFTajrs+rZtrmGSdlF/pqOf1UOSyVEseWNJzod1/6j4d9dPA9JS6/XY/Pmzaivr5c6FJ9ks9mwZcsWDl3LhKttjmi3oeTj1bBXXETMHSvhH+3eoiBs21zD35KLEqKC0dHcRL+IfrAVn0Z9+cVmn5tP7AMEFfx6J7R7vPDdeci36fV6VFZWYu/evVKH4pP27t2LyspKJmWZcKVtE50OXN34IqyXTqH3wicQ0H+oW+dg2+Y6LrPpouAADeIjtTjfzoSIsHE/RO2Zo7iy7ncIvXEu1EFhsBQcRt2Zowi5YVaHQz3xUVq+m1QGbrjhBiQkJMBgMGDmzJlSh+NzDAYDBg0ahJEjR0odCrnAlbatYs8/UVuQhaCkm+CorUHN8cxm20OGp7d7DrZtruNvyQ3pqTFYm3W+7S/Yxw9Hn3tfRuXBf6Pm621w1FZD0ysWvSb/GGHjf9hu2WqVgPSUGG+ETR4mCAL0ej3+/e9/4y9/+QtUKg44NXA4HNi4cSPuuecevmRFRjpq2xrmw9QWHEZtweEW29tLymzb3MO3RLkhv7gaM1/b77Xydy2bjKQYviRcDj7//HPccsst+PzzzzFhwgSpw/EZ/L3IE9s273Inh/JPfDckx4ZiUlK02yvfdEStEjApKbpH37Ryc/PNNyM2NpazsK9jMBjQp08fjB8/XupQyA1s23wHk7Kb1uhGQOPhG1ejErBGN8KjZZJ3qVQqLFy4EEajES4MNvUIoijCaDRi4cKFHNKXIbZtvoE1x01xkVqsmp/m0TJXz09DXKTWo2WS9+n1epw5cwbHjh2TOhSf8O233+Ls2bOcdS1TbNt8A5NyJywZG49HZ6V4pKzHZqXyJeAyNXXqVISHh3MI+zsGgwG9evXC1KlTpQ6FOoltm/SYlDtpaXoyXtCPQIBG5dKiIE2pVQICNCq8qB+BX6UneSlC8jZ/f3/MmzcPRqNR6lB8gtFoxLx58+Dn59fxzuSzmrZt7j5jZtvWdUzKXbBkbDx+1vcyas9fG77s6AZu2D4hMQq7lk3hX5EKoNfrkZ2djfz8fKlDkVReXh6OHz/OoWuFWDI2HruWTcGExGtrK3TUtjVsjg+oZdvWRUzKXWCz2fCXl1ZjqpiNnY9Mxr3jBmJglLbF6jgCgIFRWtw7biB2LZuMtQ+M43MWhbj11lsRFBTU43vLRqMRQUFBmDVrltShkIfERWqx9oFxLrVtPx6fgBGFG3HunUcRG8LlL7qC31PugrfffhsPPfQQjh07huHDhzd+brbaca7MDJvdCX+NCglRwVzNRsH0ej0uX76ML774QupQJDN+/Hj0798fn3zyidShkBe117YdP34cI0aMwNtvv42f/exnEkfqW9zJoUzKnWSz2ZCSkoJx48bhww8/lDocktC6detw77334sKFC+jfv7/U4XS7CxcuIC4uDuvWrcPdd98tdTgkoTvvvBNHjhxBbm4u/P39pQ7HZ3DxkG7w3nvvobCwECtXrpQ6FJLY3LlzodFosHHjRqlDkcTGjRuh0Wgwd+5cqUMhia1cuRLnz5/H+++/L3UossWecic09JLHjx+PDRs2SB0O+YBbb70VDocDu3btkjqUbjd9+nT4+fnh008/lToU8gGLFy/G4cOH2Vtugj1lL2voJa9YsULqUMhH6PV67N27F2VlZVKH0q1KS0uxb98+zrqmRitWrGBvuQuYlN1ks9nw/PPP484770RammdXvyH5WrBgAZxOJzZv3ix1KN1q8+bNcDqdWLBggdShkI8YPnw47rjjDjz//POw2WxShyM7TMpuYi+ZWtOnTx9MmDChx301ymg0YuLEiYiNjZU6FPIh7C13HpOyG2w2G5577jn2kqlVer0en332GWpqaqQOpVtUV1djx44dHLqmFhp6y8899xx7y25iUnbDu+++i6KiIvaSqVU6nQ5WqxXbt2+XOpRusX37dlitVuh0OqlDIR+0YsUKFBYW4r333pM6FFlhUnYRnyVTRwYNGoRRo0b1mCFso9GI0aNHIyEhQepQyAfx2XLnMCm7iL1kcoVer8eWLVtgtVqlDsWr6urqsGXLFg5dU7vYW3Yfk7IL2EsmV+n1elRXV2P37t1Sh+JVu3fvRk1NDZMytYu9ZfcxKbuAvWRy1bBhw5CcnKz4IWyj0YiUlBQMHTpU6lDIx7G37B4m5Q6wl0zuEAQBer0eGzduhMPh3nu25cJut2PTpk3Q6/UQBPfet0s9D3vL7mFS7kBDL5lrXJOr9Ho9SktLcfDgQalD8YqDBw+itLSUQ9fkspUrV7K37CIm5XY09JIXL16MYcOGSR0OycSYMWPQv39/xQ5hG41GDBgwAGPGjJE6FJKJtLQ03Hnnnewtu4BJuR18lkydoVKpoNPpYDAY4ML7XmRFFEUYDAbodDoOXZNb+GzZNUzKbWAvmbpCr9ejqKgIR48elToUj/rqq69w4cIFDl2T29hbdg2TchvYS6aumDRpEqKiohQ3hG00GhEVFYVbbrlF6lBIhthb7hiTcivYS6au0mg0mD9/PgwGg9SheIwoivjkk0+wYMECaDQaqcMhGWJvuWNMyq1455132EumLtPr9Th16hROnjwpdSgecfLkSeTl5XHomrqkobf87rvvSh2KT2JSvg57yeQpM2bMQEhIiGKGsI1GI0JCQjB9+nSpQyEZY2+5fUzK13nnnXdw4cIF9pKpywIDAzFnzhzFDGEbDAbMnTsXgYGBUodCMrdixQoUFRWxt9wKJuUm2EsmT9Pr9Th69CjOnz8vdShdcu7cOXz99dccuiaPYG+5bUzKTbCXTJ42e/Zs+Pv7Y+PGjVKH0iUbN25EQEAAZs+eLXUopBDsLbdOEF1Y3cBkMiE8PBxVVVUICwvrjri6nc1mQ1JSEiZOnIgPPvhA6nBIQW6//XZUV1dj3759UofSaZMnT0Z4eDg2b94sdSikIEuWLMEXX3yB/Px8+Pv7Sx2O17iTQ9lT/g57yeQter0eBw4cQElJidShdEpxcTEOHjzIoWvyOPaWW2JSBp8lk3fNmzcPgiAgIyND6lA6JSMjA4IgYN68eVKHQgrDZ8stMSmDvWTyrt69e2Py5MmynYVtMBgwZcoUREdHSx0KKdDKlSvZW26ixyRls9WOnEtV+KawAjmXqmC22gF830tesmQJe8nkNXq9Hrt27UJVVZXUobilqqoKu3fv5tA1ec2wYcOwePHiFr3lttpspVP0Wnn5xdVYn1WIzNwSFJZb0HRGmwAgPlKL6PpiXKkV2Esmr1q4cCF+85vfYNu2bbjrrrukDsdlW7duRX19PRYuXCh1KKRgK1aswPDhw/Hy39ehPn5cu212emoM7h4Xj+TYUKnC9SpFzr4uKrdguTEbBwpKoVYJcDjb/hFFpwOCSo1JSdFYoxuBuEhtN0ZKPclNN92EgQMH4j//+Y/Uobhs0aJFKCoqQlZWltShkIIVlVtw++r1qArq12Gb3bBdTm12j559veFIIWa8ug+HzpQBQLsXFwAElRoAcOhMGWa8ug8bjhR6PUbqmfR6PbZt24ba2lqpQ3FJbW0ttm/fzqFr8qqGNrta2w9Ax212w3alttmKSspvZObjCUM2rHZnhxf2eg6nCKvdiScM2XgjM99LEVJPptPpYLFYsHPnTqlDccmOHTtgsVig0+mkDoUUqmmb7WaTrdg2WzHPlDccKcQrO/Ja3Wa9UoDKfe/DevHa23oC+g1BRPpP4B+b2Or+r+zIQ++QACweG++1eKnnSU1NxbBhw2AwGDB//nypw+mQwWBAWloaUlJSpA6FFKi9Nttpq4UpywDrpVzYLufBWVeDqDmPIGTkjFb3V1KbrYieclG5BU9n5LS6zXqlAMXrHoe98gp6TbwL4ROXoL7iEq78+wnUl11os8yVGTkoKrd4K2TqofR6PTIyMlBfXy91KO2qr69HRkYGh67JK9prswHAaTGh6vMPUF9WBL+YQS6VqZQ2WxFJebkxG/Y2xj6qDqyDoPFHnx+/grBxeoSP+yH63PsyIIqo3Pd+m2XanSKWG7O9FTL1UDqdDhUVFdi/f7/UobRr3759qKys5NA1eUV7bTYAqEMiMWDpWgz45TuISP+pS2Uqpc2WfVLOL67GgYLSNp8h1xXlIDBhFNRB389404REIjBuOCynD8Npa33SjcMp4kBBKQpKqr0SN/VMo0ePxsCBA31+IRGDwYCEhASMGjVK6lBIYTpqswFA0PhBHRLhVrlKabNln5TXZxVCrRLa3C466iFoWi50LvgFAA476q+2/Uo9tUrAui+VNbOPpCUIAvR6PYxGI5xOp9ThtMrpdGLjxo3Q6/UQhLbrFlFndNRmd4US2mzZJ+XM3JJ2/+LyixwA66VciE5H42eiox7WS7kAAHt1WZvHOpwiMvPk+RIB8l06nQ6XL1/G4cOHpQ6lVVlZWbh8+TKHrskrOmqzu0IJbbask3KN1Y7CDh7sh/5gDuzlF1G27U+wlRbCdvUcSrf8EY6aCgCAaG9/EfTCMkuPWd6NuseECRMQExPjs0PYBoMBsbGxuPnmm6UOhRTGlTa7q+TeZss6KZ8vM6Ojv7dCR89B2M13wnxiHy7/45e4/M+lsFdcQdj4HwIAVP6B7R4vAjhXZvZMwEQA1Go1Fi5cCIPBABcW1OtWoijCYDBg4cKFUKvVUodDCuNKm91Vcm+zZf09ZZvdtWdyEVN+jLBxetRfPQ9VQDD8YxJQse89AIAmsr/HzkPkKp1Oh7///e84fvw4RowYIXU4jbKzs3HmzBkOXZNXdFdbKuc2W9Y9ZX+N6+GrA0MQGJcG/5gEAEDduf9CHRoNv6gBHj0PkSumTZuGsLAwnxvCNhgMCA8PR3p6utShkAJ1V1sq5zZbvpEDSIgKRmfm8JlP7oftcj7CxsyHILT/KxC+Ow+RJ/n7+2PevHk+mZTnzZsHf/+W31gg6qrOttnukHubLevh6+AADeIjtTjfzsSBusLjqPr8AwQOGg1VUBhsl06h5tguBCbeiNCxCzo8R3yUFsEBsv41kY/S6XRYv349Tp8+jcGDB0sdDgoKCpCdnY1nnnlG6lBIoVxpsxuYjm6Gs84MR005AKC24DDs1aUAgLAb50EV2HrilXubLeueMgCkp8a0+503dWgUoFLBlGVA+Y43UXfhBHpNvhcxP/x94xui2jxWJSA9JcbTIRMBAG677TYEBgbCaDRKHQoAwGg0IigoCLfeeqvUoZCCddRmNzBlGVF1YB1qvtkGALDkHULVgXWoOrAOzrqaVo9RQpst+/cp5xdXY+Zr3luycNeyyUiKUebLtEl6Op0OxcXFOHTokNSh4Oabb0bfvn19bkidlKUnttk96n3KybGhmJQU7fEVYtQqAZOSon3u4pKy6HQ6fPHFF7h8+bKkcVy6dAlffvklZ12T17HNbp/skzIArNGNgMbDF1ijErBG5ztfVSFluv3226HRaLBx40ZJ49i4cSM0Gg1uv/12SeOgnoFtdtsUkZTjIrVYNT/No2Wunp+GuEitR8skul5kZCTS09MlHzI2GAyYNm0aIiLcewkAUWewzW6bIpIyACwZG49HZ3nmZeyPzUpVxMuySR50Oh327t2L8vJySc5fXl6OvXv3cuiauhXb7NYpJikDwNL0ZLygH4EAjcrt5xVqlYAAjQov6kfgV+lJXoqQqKWFCxfC4XBgy5Ytkpx/8+bNcDqdWLCg468IEnkS2+yWZD/7ujVF5RYsN2bjQEEp1Cqh3TeSNGyflBSNNboRihj+IPmZOHEievfuLcmz5QULFqCsrAwHDx7s9nMTAcpvs93JofL9hnU74iK1WPvAOOQXV2Nd1nn869MsqMNjgSZryQi49iXz9JQY3DM+XvYz9kjedDodVqxYAbPZjODg7luNqKamBjt27MBzzz3Xbeckul7TNnt9ViEy80pQWGZp9vIKURSREB2s+DZbkT3lpoqLi9GnTx988B8DRkyYBpvdCX+NCglRwbJe9YWU5fTp00hKSsLHH3+MH/7wh9123o8//hh33HEHTp8+jcTExG47L1FHzFY7zpWZYbM7cXD/Xjz80x/hyoXziImR3+IgPb6n3NSpU6cAADekDcHQfuESR0PUusGDB+OGG26AwWDo1qRsMBgwatQoJmTyOcEBGqR912YH/CAVYn0dTp06Jcuk7A5FTfRqzalTp6BWq31ibWGi9uh0OmzZsgU2m61bzme1WrF161bOuiafN3jwYKjV6sZOlpIpPinn5uYiMTGRb70hn6fX62EymbBnz55uOd+ePXtgMpmg1+u75XxEnRUQEIBBgwYhNzdX6lC8TvFJ+dSpUxgyZIjUYRB1aPjw4UhKSuq2hUQMBgOSk5ORlubZRRyIvGHIkCHsKSsBkzLJhSAI0Ol02LRpExwOh1fP5XA4sGnTJuh0OgiCt99wS9R1TMoKUFtbi3PnzjEpk2zo9XqUlJR4/a1Rn3/+Oa5evcqha5KNIUOG4OzZs6irq5M6FK9SdFLOz8+HKIpMyiQbN910E/r16+f1IWyDwYD+/ftj7NixXj0PkacMGTIEoigiPz9f6lC8StFJuWFSQGpqqsSRELlGpVJh4cKFMBqNcGEJgU4RRRFGoxELFy6ESqXoJoAUpKEdV/pkL0XXyFOnTiE6OhpRUVFSh0LkMr1ej/Pnz+Obb77xSvlff/01CgsLOXRNstLQliv9ubLikzKHrkluJk+ejMjISK8NYRsMBkRGRmLy5MleKZ/IW3rCZC8mZSIf4+fnh/nz58NoNHqlfKPRiAULFkCjUfyCfqQwTMoy5nQ6mZRJtnQ6HU6cOOHxBujkyZM4efIkV/EiWWpIyt6ab+ELFJuUL168CIvFwkleJEszZ85EcHCwx3vLRqMRwcHBmDlzpkfLJeoOqampMJvNuHjxotSheI1ik3LDDD32lEmOgoKCMGfOHK8k5blz5yIwMNCj5RJ1h4b2XMkzsBWblE+dOgV/f38kJCRIHQpRp+h0Ohw5cgSFhYUeKa+wsBBfffUVh65JtgYNGgQ/Pz9FP1dWdFJOTk7mZBaSrblz58Lf3x8bN270SHlGoxH+/v6YM2eOR8oj6m4ajQbJyclMynLESV4kd2FhYZgxY4bHhrCNRiNmzpzZ4UvWiXyZ0mdgKzopc5IXyZ1Op8P+/ftx9erVLpVTUlKCAwcOcOiaZC81NZVJWW6qq6tx8eJF9pRJ9ubPnw8AyMjI6FI5Dcc3lEckV0OGDMGFCxdQU1MjdSheociknJeXB4Azr0n+YmJiMGnSpC4PYRuNRkyePBm9e/f2UGRE0mho1xvaeaVRZFJuGNrg8DUpgU6nw86dO2EymTp1fFVVFXbt2sWha1KEhnZdqUPYik3K/fr144QWUgSdTgebzYZt27Z16vht27bBZrMxKZMihIeHo2/fvkzKcsJJXqQk8fHxGDNmTKeHsI1GI8aOHYu4uDgPR0YkDSVP9lJsUubzZFISnU6HrVu3oq6uzq3jamtrsW3bNvaSSVGU/LUoxSVlh8OB/Px8JmVSFL1eD7PZjJ07d7p13M6dO2E2m/nuZFKUIUOGID8/Hw6HQ+pQPE5xSfn8+fOwWq1MyqQoQ4YMwdChQ90ewjYajRg2bBgf55CiDBkyBHV1dR5bgtaXKC4pNwxpMCmT0uh0OmzatAl2u92l/evr65GRkcGha1KchvZdiUPYikzKQUFBGDBggNShEHmUXq9HeXk59u/f79L++/fvR3l5OYeuSXHi4uIQFBTEpCwHDTOvVSrF/WjUw/3gBz9AfHy8y0PYRqMRAwcOxOjRo70cGVH3UqlUSElJYVKWg9zcXA5dkyIJggCdTgej0Qin09nuvk6nE0ajETqdDoIgdFOERN1nyJAhinyvsuKSMr8ORUqm1+tx8eJFHDlypN39Dh8+jEuXLnHomhRLqV+LUlRSLi8vR0lJCZMyKdbEiRPRu3fvDoewjUYjYmJiMGHChG6KjKh7DRkyBMXFxaioqJA6FI9SVFJuGMrg1z9IqdRqNRYsWIBPPvkEoii2uo8oijAYDFiwYAHUanU3R0jUPRraeaUNYcs+KZutduRcqsI3hRXY+98CCH6BSElJkTosIq/R6/UoKChATk5Os/s/51IVzFY7jh8/joKCAg5dk6I1tPPfnjjVog7ImSC29ed2EyaTCeHh4aiqqvKJlzzkF1djfVYhMnNLUFhuQbMfQBQxMCoY6akxuHtcPJJjQ6UKk8grcorKMP1/nkHvG6aiRgxsdv8LAEKEOlz9di/2/G0Vhg2IlCpMIq9pyAHv7DgCITQa1+78awQA8ZFan8oB7uRQWSXlonILlhuzcaCgFGqVAIez7dAbtk9KisYa3QjERWq7MVIiz2t6/0N0AkI7A13fbef9T0oi1xygyKS84Ughns7Igd0ptnshrqdWCdCoBKyan4YlY+O9GCGR9/D+p55OznXAnRyq6aaYuuSNzHy8siOvU8c6vruATxiyUVpjxdL0ZA9HR+RdvP+pp+tJdcDnk/KGI4V4ZUcenLZamLIMsF7Khe1yHpx1NYia8whCRs5ocUx9aRHKd78N64UTENQaBA0ei4jpP8MrO/LQOyQAi9ljIJlouP+vV3f+GIo/WN7qMX3ufQUB/Vt+LZD3P8lRW3UAAER7PSoPrIM5JxPOuhr49U5Ar8n3ImhQ66vYyaEO+HRSLiq34OmMHACA02JC1ecfQB3WG34xg2AtzG71GLupFFfW/w6qgGD0mvJjiLY6mA4bYLt6Dn3v+yNWZuRgwuBoPmMjn9f0/m9L6I3z4N+3+bcNNBF929yf9z/JSUd1oHTrq7Dkfo6wMQugiewHc/YulPznGcTetQaBcWmtHuPrdcCnvxK13JgN+3fPDtQhkRiwdC0G/PIdRKT/tM1jqr74CGK9FbF3PY+wMfMRPuFORC98AvUlZ1GTvRt2p4jlxtYTOpEvaXr/tyUgLg0hw9Ob/aPWhre5P+9/kpP26oD1Ui4sJ/ej15T7EDHtpwgddRti71oDTVgMKve+02aZvl4HfDYp5xdX40BBaeMDfUHjB3VIRIfHWXIPIShpLDThMY2fBSWMgiayPywnD8DhFHGgoBQFJdVei52oq66//9vjtFogOl172Tvvf5KLjuqAJfdzQFAhdNRtjZ8JGn+E3DAT1ounYDddbfU4X68DPpuU12cVQq1ybyF9e3UpnJZK+PdJarEtoG8KbMVnAFybjbfuS+W9HJuUw9X7v2zb6yh69U4UvqzDlX8/Cevl/A6P4f1PctBRHbAVn4FfZH+oApoPQzc8zmlo71vjy3XAZ5NyZm6JW9PeAcBRc20NVHVIywUT1CERcNZVQ7TXw+EUkZlX4pE4ibyhw/tf7Qdt6gRETn8QvX+4Ar0m34v6q+dRvP53sF053W7ZvP9JDjqqA46a8lZHTxvaf0dNedvH+nAd8MmJXjVWOwrLLW4fJ9qtAABB7ddim6D2b9xH0PihsMwCs9WO4ACf/BVQD+bK/R84YCgCBwz9/oPkcdAOmYjL//w1Kva9h9jFq9s9nvc/+TJX6oBotwGttfUa/++3t8NX64BP9pTPl5nhXh/5GkETAAAQHfUttokOW/N9AJwrM3c2RCKv6ez97xfRD0HJ41BXeKzDZ8y8/8mXuVIHBI0/0Fpbb7d9v70dvloHfDIp2+ztv8C9LQ1DGa0NWzhqKqAKDIWg+f4vq86eh8ibunJfasKiAYcdYr3Vq+ch8iZX7k11SGTjI8umGtr/1h5jduY83c0nk7K/pnNhaUKjodKGw3aloMU26+U8+McO8sh5iLypK/elvfIKBI0/BP9Ar56HyJtcuTf9YxJRX34RTmvzYW7bpWsLjfjHJnrkPN3N9yICkBAVDPfmXX9PmzoBtQVHmk2Hrz33X9jLL0I75JbGz4TvzkPka1y5/x2Wqhaf2YrPwJJ/GIEJoyG097IK8P4n3+ZKHdAOmQiITlT/99PGz0R7PWqyd8K/Xyo0Yb3bPd5X64BvPeH+TnCABvGRWpy/7kG/6ehmOOvMjcMTtQWHYa8uBQCE3TgPqsBghN98JyynPkfxv5cjdMx8iPXXluf0652AkBEzG8uKj9L63AN+IqDt+7+pqxtfhMrPHwH9h0KlDUd9aRFqvv0Ugl8AIqbe3+E5eP+TL3OlDgT0S4V2yC2o3PcenJZKaCL6wZy9G/aqEsTOfrjDc/hqHfC9iL6TnhqDtVnnm02JN2UZ4TB9P43dkncIyDsEAAhJS4cqMBiasN6I/dEfULHnH6jc9y4ElQZBSWMRMe2BxufJapWA9JQYEPmq1u7/prQp42HO2QvT4Y1w2ixQa8OhTZmA8Fvugl9Ev3bL5v1PctBRHQCA6Nv/F5X718F8PBOOuhr4xyQgZtFKBMYPb7dsX64DPvvqxvziasx8bb/Xyt+1bDKSYqR/+TVRa3j/U0+npDrgTg71yWfKAJAcG4pJSdFur+rVEbVKwKSkaDZI5NN4/1NP11PrgM8mZQBYoxsBjYcviEYlYI1uhEfLJPIG3v/U0/XEOuDTSTkuUotV81t//VZnrZ6f5rOv7CJqivc/9XQ9sQ74dFIGgCVj4/HorJSOd3TBY7NSffrl1kTX4/1PPV1PqwM+O/u6qaXpyYgOCcDTGTmwO0W3XlShVgnQqASsnp/m8xeDqDW8/6mn60l1wGdnX7emqNyC5cZsHCgohVoltHthGrZPSorGGt0Inx6uIHIF73/q6eRaB9zJobJKyg3yi6uxPqsQmXklKCyzNFu4XBRFJEQFIz01BveMj/fZGXZEndXe/S/g2qII6Sm8/0m55FYHFJ+UmzJb7ThXZobN7sThLw/hF/cswtn8Uxg4cKDUoRF5XdP731+jQkJUsE+uUkTkLXKoA+7kUN+KvBOCAzRI6xcOAAi3D4VYX4dTp5iUqWdoev8T9URKqwM+P/vaHQMHDkRAQAByc3OlDoWIiMhtikrKarUaKSkpOHXqlNShEBERuU1RSRkAhgwZwqRMRESypLiknJqayqRMRESypLikPGTIEFy+fBkmk0nqUIiIiNyiyKQMgJO9iIhIdhSXlFNTUwGAQ9hERCQ7ikvKISEhGDBgAJMyERHJjuKSMsAZ2EREJE+KTMqcgU1ERHKkyKQ8ZMgQFBQUwG63Sx0KERGRyxSblG02G86dOyd1KERERC5TbFIGOAObiIjkRZFJuX///ggODmZSJiIiWVFkUhYEgZO9iIhIdhSZlIFrQ9hc1YuIiORE0UmZPWUiIpITRSfl0tJSlJaWSh0KERGRSxSdlAG+mIKIiORDsUk5KSkJgiBwCJuIiGRDsUk5KCgICQkJ7CkTEZFsKDYpA5zsRURE8sKkTERE5CMUn5TPnDkDq9UqdShEREQdUnxSdjgcOH36tNShEBERdUjRSTk1NRUAvxZFRETyoOikHBMTg169evG5MhERyYKik7IgCJzsRUREsqHopAxwBjYREclHj0nKoihKHQoREVG7FJ+UU1NTYTKZUFxcLHUoRERE7VJ8Um54MQWHsImIyNcpPikPHjwYGo2GSZmIiHyeRuoAvM3Pzw+DBw/G8VP5yLlUBZvdCX+NCglRwQgOUPyPT0QkS2arHefKzD2uzVb0T5hfXI31WYVwzl2JLX5h2PLng43bBADxkVqkp8bg7nHxSI4NlS5QIiJqbLMzc0tQWG5B0+m5PaXNFkQXpiWbTCaEh4ejqqoKYWFh3RFXlxSVW7DcmI0DBaVQqwQ4nG3/iA3bJyVFY41uBOIitd0YKRERKb3NdieHKi4pbzhSiKczcmB3iu1e2OupVQI0KgGr5qdhydh4L0ZIREQNekKb7U4OVdTw9RuZ+XhlR16njnV8d0M8YchGaY0VS9OTPRwdERE1xTa7JcUk5Q1HCvHSlm9hyjLAeikXtst5cNbVIGrOIwgZOaPZvtZLuajJ3g3bpVzYrp4DnA4MfGJL4/ZXduShd0gAFvv4X19ERHK14UghXtmRB6et1qV2GwBMRzej+uutsFdegTooDNqhk9Br0r2KarMV8ZWoonILns7IgdNiQtXnH6C+rAh+MYPa3L/29Feo+XYHIAjQ9OrT6j4rM3JQVG7xVshERD1WQ5sNwOV2uyLzHVTs/Bv8owcicsbPoU2diOqjW3DV+DwA5bTZiugpLzdmw+4UoQ6JxICla6EOiYD1cj6uvLes1f1DfzAHYeMXQeUXgPIdb6K6/GKLfexOEcuN2Vj7wDhvh09E1KM0tNkAXGq37TXlMB3ZiOC0dETP+23j55rIfqjY+TdY8rOgTh2viDZb9j3l/OJqHCgohcMpQtD4QR0S0eEx6uAIqPwC2t3H4RRxoKAUBSXVngqViKjHa9pmA3Cp3bZdPAU4HQgeNrnZ58FDr/2/+eR+xbTZsk/K67MKoVYJXilbrRKw7stCr5RNRNQTdabNFh31AABB07wzJXzXubJdOQ1AGW227JNyZm6JW9Po3eFwisjMK/FK2UREPVFn2mxNZH8AQN2FE80+txZdey7tqCm79m8FtNmyfqZcY7Wj0MsP9gvLLDBb7T1ieTciIm/qbJsd0CcJ/v1SYcr6BJrQKATGj0R9WRHKPvsroNJArLc27iv3NlueUX/nfJkZ3n5LsgjgXJkZaf3CvXwmIiJl60qb3Vv3JEo3vYSyba9f+0BQIeymhagrPI76JpN15d5myzop2+xORZ2HiEjJutKWakKj0eeel1BffhEOcwX8IvpDHRKBC2/8GH6R/Tx2HqnJOin7a7rnkXh3nYeISMk80Zb6RfaH33fPmG2lhXDUlCN4xHSPn0cq8o0cQEJUMLwz7/p7wnfnISKirvFkmy2KTlRmvgPBLwCho2Y3fi73NlvWPeXgAA3iI7U432TigOnoZjjrzHDUlAMAagsOw15dCgAIu3EeVIHBsFeVoOb4HgCA9UoBAKDy8w0AAE14DEKGT2ssLz5KK9sJA0REvqS1Nhtwrd0u3/k3iI56+MckQnTaYT6xD7ZLeYi6fRk04TGNZcm9zZZv5N9JT43B2qzzjVPsTVlGOEzfT4m35B0C8g4BAELS0q8l5corqDqwrlk5Df8fEDe8MSmrVQLSU2JARESecX2bDbjWbvvHDobpq00w5+wFBAEBfVMQe9fzCBw4svE4JbTZsn91Y35xNWa+tt9r5e9aNhlJMcp8mTYRUXfriW22OzlU1s+UASA5NhSTkqI9vqqXWiVgUlK0z11cIiI5Y5vdPtknZQBYoxsBjYcvsEYlYI1uhEfLJCIittntUURSjovUYtX8NI+WuXp+GuIitR4tk4iI2Ga3RxFJGQCWjI3Ho7NSPFLWY7NSFfGybCIiX8U2u3Wyn33d1NL0ZESHBODpjBzYnaJbi56rVYBGpcLq+WmKubhERL6saZtdZ6uHoFK7fKxaJUCjEhTXZiump9xgydh47Fo2BRMSowCgw8kE6u8299eYsWvZFEVdXCIiX7dkbDzuCi+AtfAYABfa7O+2T0iMUmSbLfuvRLUnv7ga67MKkZlXgsIyS7OF0AVc+5J5ekoMTm15G/s2f4gzZ84gKChIqnCJiHoci8WCxMRE3H777fjd86+61GbfMz5eVrOs3cmhik7KTZmtdpwrM8Nmd8Jfo0JCVHDjqi9nzpxBSkoKXn75ZSxbtkziSImIeo4//vGP+N3vfofc3FwkJiY2ft5emy03TMqd8MADD2Dr1q04c+YMtFr5z+AjIvJ1FosFgwYNwrx58/CPf/xD6nC8pkctHuIpTz31FEpLS/G3v/1N6lCIiHqEt956C+Xl5Vi+fLnUofgMJuXvJCYm4r777sOLL74Ii8XS8QFERNRpFosFL774Iu67775mw9Y9HZNyE+wtExF1D/aSW8ek3AR7y0RE3sdectuYlK/D3jIRkXexl9w2JuXrsLdMROQ97CW3j0m5FU899RTKysrYWyYi8rCGXvJTTz0ldSg+iUm5FewtExF5XkMv+f7778egQYOkDscnMSm3Yfny5ewtExF5EJ8ld4xJuQ3sLRMReQ57ya5hUm4He8tERJ7BXrJrmJTbwd4yEVHXmc1m9pJdxKTcgYbe8ltvvSV1KEREssResuuYlDvA3jIRUeeZzWa89NJL7CW7iEnZBcuXL0d5eTl7y0REbmIv2T1Myi5gb5mIyH3sJbuPSdlF7C0TEbmHvWT3MSm7iL1lIiLXsZfcOUzKbmBvmYjINewldw6TshvYWyYi6hh7yZ3HpOymp556ir1lIqJ28E1Qncek7KZBgwbh/vvvZ2+ZiKgVDb3kn/zkJ0hISJA6HNlhUu4EPlsmImodnyV3DZNyJ7C3TETUEnvJXcek3EnsLRMRNcdectcxKXdS096y2WyWOhwiIkk1vAmKveSuYVLugrZ6y2arHTmXqvBNYQVyLlXBbLVLFCERkee017a9+eabqKioYC+5izRSByBnDb3ll156CTN+eC+Mx64iM7cEheUWiE32EwDER2qRnhqDu8fFIzk2VKqQiYjckl9cjfVZhe22bbcMjsA//r6OvWQPEERRFDvayWQyITw8HFVVVQgLC+uOuGTj0Le50L/wHwQmjIZaJcDhbPvX2bB9UlI01uhGIC5S242REhG5rqjcguXGbBwoKO2wbRMgQoSAMf2D8eqPbmLbdh13ciiHr7tgw5FC/OTjMwgaeAMAtHvTNt1+6EwZZry6DxuOFHo9RiIid204UogZr+7DoTNlADpu20QIAIBvLlvYtnURh6876Y3MfLyyI+/a/wju/W3jcIpwOEU8YchGaY0VS9OTvRAhEZH7mrVtbmLb1nVMyp2w4UghXtryLUxZBlgv5cJ2OQ/OuhpEzXkEISNnNO4nik6Ys/fAkncItuIzcNZVQxMeC+3QyQgfp4eg8ccrO/LQOyQAi8fGS/gTERG53rY1MJ88ANORjagvuwBBUMGv90CEjfshtElj2bZ1Eoev3VRUbsHTGTlwWkyo+vwD1JcVwS+m9QXXxXoryra9BoelCqGjZyNi+oPw75uCqoP/RvFHT6Phcf7KjBwUlXMREiKSjjttGwCYvtqM0k0vQh0Uhoip9yF84hI4rWZc/XgVLLmHALBt6wz2lN203JgNu1OEOiQSA5auhTokAtbL+bjy3rIW+wpqDWLveRmBA4Y2fhY66jZowmNRdXA96s5/i6CEUbA7RSw3ZmPtA+O680chImrkTtsGANVHN8O/bzJ6L1oJQbj2TDlk5Exc+Mt9qMneDW3qBLZtncCeshvyi6txoKAUDqcIQeMHdUhEu/sLar9mCbmBNuVmAEB9aRGAa89hDhSUoqCk2vNBExF1wN22DQCcNgvU2l6NCRkAVAFaqPwCIfj5A2Db1hlMym5Yn1UItUroeMcOOMwVAAC19vup8WqVgHVfcsYiEXW/zrRtgfEjUHvmKExfbYa9shj1ZUUo2/EmnFYLwsbMb9yPbZt7OHzthszckg6/GuAKU9YnEAK0CEq8sfEzh1NEZl4JnkFal8snInJHZ9q2yBkPwWkxoWLX31Cx628AAFVQGGLveg4B/b8fIWTb5h72lF1UY7Wj0AMTFqoOfYS6c/9FxJT7oQoMabatsMzCJTmJqFt1tm0T/AKgiRqA4OHTEb3wCUTNeRjqkEhcNaxBfcWlZvuybXMdk7KLzpeZ0dU+svnkflTuX4uQkbMQ+oM5LbaLAM6V8eUWRNR9Otu2Xd34AhxVJYi+fRmCh9yCkJEzEfujP0B02FG5b22zfdm2uY5J2UU2u7NLx9ee/QalW/6IoMFjEHnbr7x2HiIid3SmzamvvIK6M0cRlNx8VrU6KBQBA4bBevGER87TEzEpu8hf0/lflfVSLq4ankdAn2REL3wCgkrtlfMQEbmrM22O87vJqhBbJlrRaYfodHjkPD0Rf0suSogKRmfmXdeXFqHkP6ugCY9B7zuehsovoM19he/OQ0TUXTrTtmki+gGCCuaTB9D0nUZ2UymsF07AP3Zws/3ZtrmOs69dFBygQXykFuebTIgwHd0MZ50ZjppyAEBtwWHYq0sBAGE3zgMEAcUfrYSzrgZh4/SoLTjSrEy/iD7NZinGR2kRHMBLQkTdpzNtm1objpCRM1Dz7Q4Uf/AUtKk3Q7TVovrrbRDrrQgff0ezc7Btcx1/S25IT43B2qzzjV8dMGUZ4TCVNG635B0C8q4tLxeSlg4AcJiuAgAq977borzg4dMbk7JaJSA9Jcab4RMRtcrdtk0VGIzIW38Fv5hBqPl2Jyr3vQ8A8O+TjOjb/xeB8cMbj2Xb5h6+T9kN+cXVmPnafq+Vv2vZZCTFhHqtfCKi1rBt8y6+T9lLkmNDMSkp2iOrejWlVgmYlBTdo29aIpIO2zbfwaTspjW6EdB4+MbVqASs0Y3waJlERO5g2+YbmJTdFBepxar5nl0ubvX8NMRFaj1aJhGRO+IitfjpDSEd7+gGtm3uY1LuhCVj4/HorBSPlFV3+COk+pV7pCwios765ptv8OLPFyDkTKZHyntsVioWj433SFk9CZNyJy1NT8YL+hEI0Kjcfg6jVgkI0Kjw9G1JiDOdwIwZM5Cdne2lSImI2nfs2DHMnDkTSUlJ+PzvK7rctr2oH4FfpSd5KVpl4+zrLioqt2C5MRsHCkqhVgntvmmlYfukpGis0Y1AXKQWFRUVmD59Oi5cuIC9e/di2LBh3Rg9EfV0OTk5mDp1KuLj47Fr1y5ERFx7l3JX2zb6njs5lEnZQ/KLq7E+qxCZeSUoLLM0W+BdwLUvz6enxOCe8fEtZiKWlZVh2rRpKC4uxt69ezFkyJBujZ2IeqZTp05h6tSp6NOnD3bv3o2oqKgW+3SlbaNrmJQlZrbaca7MDJvdCX+NCglRwR2uZnP16lWkp6ejvLwc+/btQ3JycjdFS0Q9UV5eHqZOnYqoqChkZmYiOjq6w2M607YRk7JsFRcXY+rUqaiursa+ffswePDgjg8iInLT6dOnMWXKFISFhWHv3r2IieGKW97ExUNkKjY2Fnv27EFwcDCmTZuGc+fOSR0SESnM2bNnkZ6ejpCQEOzZs4cJ2ccwKfuYvn37Ys+ePfDz80N6ejoKCwulDomIFOL8+fOYNm0aAgICsGfPHvTp00fqkOg6TMo+qH///sjMzIQgCEhPT8eFCxekDomIZO7ChQuYNm0aBEHAnj170K9fP6lDolYwKfuouLg4ZGZmwuFwYNq0abh06ZLUIRGRTF26dAnp6elwOBzIzMxEXFyc1CFRG5iUfdjAgQOxZ88e1NbWYtq0abhy5YrUIRGRzFy5cgXp6emwWq3IzMzEwIEDpQ6J2sGk7OMSExORmZmJ6upqTJ8+HSUlJR0fREQEoKSkBNOmTUNNTQ327NmDQYMGSR0SdYBJWQaSkpKwZ88elJeXY8aMGSgtLZU6JCLycaWlpZg+fToqKiqQmZmJpCQueykHTMoykZqaij179qC4uBgzZ85EeTlfYkFErWv4A76kpASZmZlISfHMC3TI+5iUZWTo0KHYvXs3Lly4gFmzZqGyslLqkIjIx1RUVGDmzJm4ePEi9uzZw2V7ZYZJWWaGDx+OXbt24ezZs7j11ltRVVUldUhE5COqqqpw66234ty5c9i9ezfS0jz77nfyPiZlGbrhhhuwc+dO5OXlYfbs2aiurpY6JCKSmMlkwm233Yb8/Hzs2rULI0eOlDok6gQmZZn6wQ9+gJ07d+LEiROYM2cOampqpA6JiCRSU1ODOXPm4OTJk9i5cydGjx4tdUjUSUzKMjZmzBh89tln+Pbbb3H77bfDbDZLHRIRdTOz2Yy5c+fi2LFj+OyzzzBmzBipQ6IuYFKWuXHjxmH79u346quvMH/+fNTW1kodEhF1E4vFgvnz5+Prr7/Gp59+inHjxkkdEnURk7ICTJw4Edu2bcOXX36JhQsXoq6uTuqQiMjL6urqsHDhQnz55ZfYtm0bJkyYIHVI5AFMygoxefJkbNmyBQcOHIBer4fVapU6JCLyEqvVCp1Oh4MHD2Lr1q2YNGmS1CGRhzApK0h6ejoyMjKwZ88e3HHHHbDZbB0eY7bakXOpCt8UViDnUhXMVns3REpEDdytgzabDYsWLcLevXuRkZGBqVOndk+g1C00UgdAnjVjxgxs3LgRCxYswJIlS/Dhhx/Cz8+v2T75xdVYn1WIzNwSFJZbIDbZJgCIj9QiPTUGd4+LR3JsaLfGT9QTdLYO1tfXY/HixdixYwcyMjIwY8aMbo+dvEsQRVHsaCeTyYTw8HBUVVUhLCysO+KiLtq6dSt0Oh0WLlyIf//739BoNCgqt2C5MRsHCkqhVglwONu+9A3bJyVFY41uBOIitd0YPZEydaUO9g3zx1133YVNmzZh48aNmDNnTjdGTl3hTg5lUlawTZs2YdGiRVi0aBFuf/gPWL31JOxOsd2G4HpqlQCNSsCq+WlYMjbei9ESKduGI4V4OiOn03Ww/5VDOPDuC/jkk08wf/58L0ZKnsakTI0++eQT/OzVjxE+6Z4ul/XorBQsTU/2QFREPcsbmfl4ZUde5wsQRUAQMLu/HW8uXeC5wKhbuJND+UxZ4erjxyJ0nIjKA+thvZQL2+U8OOtqEDXnEYSMbP48qvq/n8Kcsxf1ZRfgtNZAHRKFwPgR6DXxLmh6xeKVHXnoHRKAxewxE7lsw5FCvLIjD05bLUxZhg7r4fkXbm+zrHcTRmHquNGsgwrGpKxgReUWPJ2RA6fFhKrPP4A6rDf8YgbBWpjd6v624jPQhMdCm3QTVIEhsFcVo/rbz1BbcBh9f/pnaEKjsDIjBxMGR/MZM5ELGuogAJfrYdTtv23xme1KPqq/ykDgoNGsgwrHpKxgy43ZsDtFqEMiMWDpWqhDImC9nI8r7y1rdf+oW3/Z4rOglJtx5d1HYD6+B+E33wG7U8RyYzbWPsCVg4g60lAHAbhcD0OGp7f4rKwwG4CA4KFTWAcVjt9TVqj84mocKCiFwylC0PhBHRLRqXI04TEAAKf12rraDqeIAwWlKCjhm6mI2tO0DgLodD0U7fWw5H6OgPjh0IRFsw4qHJOyQq3PKoRaJXTqWEetCQ5zJayX81G29TUAQODAGxq3q1UC1n1Z6IkwiRSrK3WwqdrTR+C0mhGcNrXxM9ZB5eLwtUJl5pa49bWLpi68cR/gqAcAqILCEDHjIQQN+v5VcA6niMy8EjwDvkCdqC1dqYNNmU/sBdR+CE6d2PgZ66ByMSkrUI3VjsJyS6ePj71zFUS7DfVlRTDn7IVY3/IFF4VlFpitdgQH8BYiul5X62ADp9WC2tNfIWjwGKgCQ5ptYx1UJl5NBTpfZkZX/j4PHDgSABA0eAyCksfj8j9/BcE/EGE3zmvcRwRwrsyMtH7hXQuWSIG6WgcbWHI/h2i3IXjY1BbbWAeVic+UFchmd3qsLL+IvvCPTYQ5Z69Xz0OkJJ6qG+acvRACgqFNusmr5yHfwaSsQP4az15WZ70NorXlUJynz0OkFJ6oG/aactQVZkObOgGCxq/VfVgHlYdXVIESooLh7pxP0emAo66mxefWS7mov3oO/n2Smn0ufHceImqpM3XwepYT+wHR2erQNcA6qFR8pqxAwQEaxEdqcb7JRBPT0c1w1pnhqCkHANQWHIa9uhQAvntWLOLiX+6Hdugk+EfHQ/ALRP3Vc6jJ3gVVQDDCJy5pdo74KC0nmBC1obU6CHRcD1WB3ydZ84m9UIdEInDgiFbPwTqoTLyiCpWeGoO1Wecbv5JhyjLCYSpp3G7JOwTkHQIAhKSlQx0aiZAbZqHu/LFrk0vqbVCHRCJ46BSET1gMTa/YxmPVApCeEtO9PxCRzNwUF4zCshqIwvcDkh3Vw4akXF92AbYrBQgduxCC0HJAU60SWAcVim+JUqj84mrMfG2/18qf7TyC5x7/NaKiorx2DiI5Kisrw4svvog3/70RUfe+6rXz7Fo2GUkxoV4rnzzHnRzKZ8oKlRwbiklJ0R5ZUagptQD0RSXW/uUVJCYmYtWqVTCZTB49B5EcmUwmPPPMMxg0aBD++te/4pGfLMb4hHDP10GVgElJ0UzICsWkrGBrdCOg8XCDoFGr8NFjOpw5cwYPPPAA/vCHPyAxMREvv/wyLJauL5ZAJDcWiwUvvfQSBg0ahBdeeAEPPvggzp49i2effRYv3/EDz9dBlYA1utafM5P8MSkrWFykFqvme3YZvtXz0xAXqUVMTAz++Mc/oqCgAIsWLcLy5csxePBgvPHGG7BarR49J5EvslqteOONNzB48GA89dRTuPPOO3H69Gn83//9H3r37g3Au3WQlIlJWeGWjI3Ho7NSPFLWY7NSW7xcfcCAAXjrrbeQm5uLWbNm4eGHH0ZKSgr+9a9/wW63e+S8RL7Ebrfjn//8J1JSUvDwww/j1ltvRW5uLt58803079+/xf7eroOkLEzKPcDS9GS8oB+BAI3K7edbapWAAI0KL+pH4FfpSW3ul5iYiPfeew/Hjx/HTTfdhAceeABpaWnYsGEDnE6uOkTy53Q68cEHH2DYsGH42c9+hnHjxuH48eN49913kZiY2O6x3VEHSRmYlHuIJWPjsWvZFExIvDZbuqOGoWH7hMQo7Fo2xeW/zocOHYr//Oc/+Prrr5GUlIS77roLo0aNwqZNm+DCRH8inyOKIjZt2oRRo0bhRz/6EVJSUvD111/jo48+wtChQ10up7vqIMkbvxLVA+UXV2N9ViEy80pQWGZptnC+gGuLEqSnxOCe8fFdnuF56NAh/P73v0dmZiZuuukmPPfcc5gxYwYEwbOTX4g8TRRF7Ny5E7///e9x5MgRpKen47nnnsOECRO6XHZ31kGSnjs5lEm5hzNb7ThXZobN7oS/RoWEqGCvrBK0e/duPPXUU8jKysKUKVPw/PPPY+LEiR0fSCSBgwcP4qmnnsL+/fsxfvx4PP/885g2bZpXztVddZCkw+8pk8uCAzRI6xeO0fERSOsX7rXGYPr06fjiiy+QkZGBiooK3HLLLZgzZw6OHj3q8XOZrXbkXKrCN4UVyLlUBbOVE86UwtvX9ujRo5g9ezYmTZqEqqoqbN68GYcOHfJaQga6rw6SPLCnTN3O6XTi448/xsqVK5Gbmwu9Xo/Vq1cjLa3zXx1pHA7MLUFheSvDgZFapKfG4O5x8UiO5XCgnHTHtc3JycHKlSthMBiQmpqK1atXY9GiRVCp2G+hruPwNcmC3W7HunXrsGrVKpw/fx533303nnnmGQwePNjlMorKLVhuzMaBglKoVULjWt+tadg+KSkaa3Qj+F1PH9cd17agoACrVq3C+vXrMXDgQDz99NO45557oNGwt0qew+FrkgWNRoP7778fubm5eOONN7B7924MGTIEDz30EIqKijo8fsORQsx4dR8OnSkDgHYb7abbD50pw4xX92HDkcKu/xDkFd6+tkVFRfj5z3+OIUOGYPfu3fjLX/6C3Nxc3H///UzIJCkmZZKcv78/fvnLX6KgoAAvvPACPvnkEyQnJ+ORRx5BcXFxq8e8kZmPJwzZsNqdHTbY13M4RVjtTjxhyMYbmfme+BHIg7x5bYuLi/HII48gKSkJRqMRL774Ik6fPo1f/OIX8Pf399SPQNRpHL4mn1NdXY3XXnsNr7zyCux2Ox5++GE89thjiIiIAHCtF/X4hsMwZRlgvZQL2+U8OOtqEDXnEYSMnNFmuaLDjsv/+jXqy4rQK/2nCB+nBwC8qB/B74D6CHevrSg6UfPNp6j+73bYyy9C0ATAL2YQIqf/DP6xiY3XtqKiAi+//DJef/11aDQaPProo3jkkUcQGsr5BeR9HL4mWQsNDcWKFStw9uxZ/OY3v8Hrr7+OQYMG4bnnnsPJohI8nZEDp8WEqs8/QH1ZEfxiBrlUbvXRzbCbrrb4fGVGDorK+TINqRWVW9y+tmVbX0f5rr/Bv08SImY+hPCJS6AJ6w2HpQrAtWv7+KoXMWjQILz++ut4+OGHcfbsWaxYsYIJmXwSH56Qz4qMjMQf/vAHPPzww3jhhRfw7LPP4q1cP/gNSIM6JBIDlq6FOiQC1sv5uPLesnbLcpgrUfn5BoSN/yGqDqxvts3uFLHcmI21D4zz5o9DHVhuzIbdKbp8bc0nD8B8fDd665ZDm9r6gh51tnq8X2DH/fffjyeffBKxsbHe/BGIuow9ZfJ5ffr0wWuvvYadh49DM2A4RAgQNH5Qh0S4XEbF3nfhF9kfwWnpLbY5nCIOFJSioKTak2GTG/KLq3GgoBQOp+jytTUd2Qj/vinQpk6AKDrhtNW12EdQqRGYMApLlz/LhEyywKRMsrHnvK1TL4y3XsqF+fgeRM54EAJaP16tErDuS87Glsr6rEK3rq3TaoHtUh4C+iajYt97KHp1MYr+uAgX33wA5pMHmu3La0tywqRMspGZW+L2bFxRFFG+82/QDp2EgP5tvzzA4RSRmVfS1RAloYQVzNy9tvaKywBEmE8eQM2xnYiY+hNEz3sUKm04Sje9hNoz368UJ+drSz0PnymTLNRY7SjsxGQsc/Yu1F89j966Jzvct7DMArPVLotlDpW0gllnrq2zvvbav2tN6PPj/0NAv1QAQFDyOFx88wFUHfoQQYk3Nu4vp2tLPRvvUJKF82VmuPviR6fVgop97yFsnB6asN4d7i8COFdmRlq/8E7F2B1cWeVKBHC+3IK1Wefx7hfnfH4Fs85cW0ETAADQhMc2JmQAUPkHISjpJphz9kJ0OiCo1ADkcW2JAA5fk0zY7E63jzFlGQCHHdqhk2CvLL72T3UpAMBZVwN7ZTFER32Xz9NdlLqCWWd+5+qQSACAKrhXy23BvQCnHeJ1E798+doSNWBPmWTBX+P+349201U462pw+R+/bLHN9MVHMH3xEfr+5E/wj01s/Dz3ZA4Sw0cgPNy3elRvZObjlR15nTrW4RThcIp4wpCN0horlqYnezi6zqmqqsLJkyeR+U0+gEi3jtWERkEdHAFHTXmLbY7qMggafwgBQc0+78w9RNTdmJRJFhKigiEAbg1zho6ZB23K+GafOSxVKP/0DQSPmAFt8jhowr//mowoivjRvJkQ6+vQr18/DB06FEOHDsWwYcMa/zsmJgaC4P4M8K7YcKQQL2351qVVrkq3vArz8d0tytBEDkD/n7+FV3bkoXdIQLetYCaKIkpKSnDy5EmcOHECJ0+ebPzvy5cvA7g25By37CPAzd+rdugkVH+Vgdqz3yBo0GgA166vpSALgQNHQhC+T8ICrt1DRL6OSZlkIThAg/hILc43mRBkOroZzjpzY2+ptuBw4/B02I3zENAnCeiT1Kwce+W1tbT9ouOhTbm52baBkVpszDrULHHs3r0bb731Fuz2azOaIyMjGxN004QdFxfnldf8Xb/KlTqsN/xiBsFamN32QWo/RM3+TbOPVAHfP09emZGDCYOjPfqM2el0oqioqNXkW1FRAeDaC0iSk5MxdOhQPPDAA42/w9TUVMz+S5Zb11YVGIzwm++A5dRBXDWuQdjYhVAFBKP6v9sBhwO9Jv+4WXzxUVpO8iJZ4F1KspGeGoO1Wecbn5WasoxwmL7/qosl7xCQdwgAEJKWDlWg6z0jtUrAtCGxGD06DaNHj262rb6+HgUFBc0SzdGjR7F+/XrU1l6bBazVapsl64aEPXjw4C69dcjdVa6AawtmhAxvuUhKg66sYGa323H69OkWiffUqVOwWK4l1aCgIAwZMgTDhg3D7NmzG38fSUlJ8PPza7XczlxbdXAEYu95CRV7/gnTV5sAhwMB/VMRPe+3zR5JqFUC0lNi3P5ZiaTApEyycfe4eLz7xbnG/x/wy3+5XYamVywGPrGlxecOp4h7xrc+pOvn59eYWJpyOp0oLCxskaC2bNmCysrKxmOTk5ObDYEPGzYMKSkpCAoKauVs32tY5QqA2yuYiU4HxHprsx5y05+1YQWzpJjWvy5VW1uL3NzcZj/XyZMnkZ+fj/r6a5PjevXqhWHDhmH06NH40Y9+1PizxcfHuz1q0Nlr69erD2L0T7W7T3vXlsjXMCmTbCTHhmJSUjQOnSlzexGR9qhVAiYkRrWZoNqiUqmQkJCAhIQEzJkzp/FzURRRXFzcLFmfPHkSb7/9Nq5cuQIAEAQBgwYNavHMeujQoY2TzBpWuXJ7wZR6K4pevfNaUg4MgXbYFERMvR8q/+//CGhY5WrZlAHNYmyI+ezZs2h4gVyfPn0wbNgwpKen45e//GVjvLGxsR57vu5r15ZIKnx1I8lKUbkFM17dB6sHv94SoFFh17Ip3fI93oqKCpw6dapFwj537lxjEmyYZHbpxp/Domo5BN8wfN3aRK+Kve8CAPxjBwOiE7Vnvob5+G4EDBiG2B/9ofF7uwAgmopR+NcHAFz7IyEhIaHVyW29evXyzi/jOnK/tkRtcSeHsqdMshIXqcWq+Wl4wtDORCc3rZ6f1m2NdkREBG6++WbcfHPzSWYWi6VxuPjEiRM4fiofFsH9mCKm3t/s/4OHTYFfZH9U7n8fllMHETxsSuM2ISwG/3p/PUYNvzbZSquVNnHJ/doSeQKTMsnOkrHxKK2xdvp7u009Niu1274e1B6tVovRo0c3TjLLuVSFuX8+6JGyQ8cuQOWBdag7922zpAwIuGn6XJ9a5UqJ15bIHUzKJEtL05MRHRKApzNyYP9ucQxXqVUCNCoBq+en+Wyj7cnVp1R+AVAFhcJR1/LVlL64ypXSry1Re7jEDcnWkrHx2LVsCiYkRgFAh6/+a9g+ITEKu5ZN8elG25OrTzmtFjgtJqi1LXvEvrrKlZKvLVF72FMmWYuL1GLtA+O+f2tSXgkKy1p5a1KUFukpMbhnfLwsZuJ2ZgUz0W6D6LC3+BpU1aENAEQEDfpBs899fZUrpV5bovYwKZMiJMeG4pn5aXgGaTBb7ThXZobN7oS/RoWEqGDZrebUmRXMnHU1uPzOb6AdNgV+UQMAAHVnv0bt6a8QmHgjgq5bclQuq1wp7doStYd3MylOcIDGpyYvdVZnVrkKSroJdee+gfn4bohOJ/wi+qLXlB8j7CZ9s7Wg5brKlVKuLVFb+D1lIh+VX1yNma/t91r5u5ZN5nAvUTdwJ4f65iwPImpc5aqjSU7uUqsETEqKZkIm8kFMykQ+bI1uBDQeTsoalYA1uhEeLZOIPINJmciHNaxy5Ulc5YrIdzEpE/m4JWPj8eisFI+UxVWuiHwbZ18TyQBXuSLqGdhTJpIJrnJFpHzsKRPJCFe5IlI2fk+ZSOa4yhWRb+P7lIl6EK5yRaQcfKZMRETkI5iUiYiIfASTMhERkY9gUiYiIvIRTMpEREQ+gkmZiIjIRzApExER+QgmZSIiIh/BpExEROQjmJSJiIh8BJMyERGRj2BSJiIi8hFMykRERD6CSZmIiMhHMCkTERH5CCZlIiIiH8GkTERE5COYlImIiHwEkzIREZGPYFImIiLyEUzKREREPoJJmYiIyEcwKRMREfkIJmUiIiIfoXFlJ1EUAQAmk8mrwRARESlNQ+5syKXtcSkpV1dXAwDi4uK6EBYREVHPVV1djfDw8Hb3EUQXUrfT6cSlS5cQGhoKQRA8FiAREZHSiaKI6upq9OvXDypV+0+NXUrKRERE5H2c6EVEROQjmJSJiIh8BJMyERGRj2BSJiIi8hFMykRERD6CSZmIiMhHMCkTERH5iP8He88lwf3uuusAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G, pos_all, with_labels=True)\n",
    "plt.savefig('调整节点位置，第二种.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6044993c-3ca8-441e-ba90-a4c7a5aa9f20",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6c484a87-7c75-4cd5-b6cc-497e1a3f6abf",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
